On the steady flow of compressible viscous fluid and its stability with respect to initial disturbance

Yoshihiro Shibata, Koumei Tanaka

研究成果: Article査読

40 被引用数 (Scopus)

抄録

We consider a compressible viscous fluid effected by general form external force in R3. In part 1, an analysis of the linearized problem based on the weighted- L2 method implies a condition on the external force for the existence and some regularities of the steady flow. In part 2, we study the stability of the steady flow with respect to the initial disturbance. What we proved is: if H3-norm of the initial disturbance is small enough, then the solution to the non-stationary problem exists uniquely and globally in time.

本文言語English
ページ(範囲)797-826
ページ数30
ジャーナルJournal of the Mathematical Society of Japan
55
3
DOI
出版ステータスPublished - 2003

ASJC Scopus subject areas

  • 数学 (全般)

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